Geometric Properties of Orbits of Integral Operators

Geometric Properties of Orbits of Integral Operators

Bibliographic Details
Main Author: Beil, Joel S.
Language:English
Published: Kent State University / OhioLINK 2010
Subjects:
Mathematics
integral operators
Schauder bases
operator orbits
lacunary subsequences
asymptotic analysis
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=kent1270503593
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-kent12705035932021-08-03T05:37:07Z Geometric Properties of Orbits of Integral Operators Beil, Joel S. Mathematics integral operators Schauder bases operator orbits lacunary subsequences asymptotic analysis This dissertation addresses some of the geometric properties of orbits of integral operators on the Banach spaces C[0, 1] and L<sub>p</sub>[0, 1]. It will be shown that, under very general conditions on the starting element, an orbit of the Volterra operator cannot be a Schauder basis for its closed linear span. However, lacunary subsequences of the orbit will be seen to be Schauder bases for their closed linear span. Bounds on the norm of the iterates and a monotonicity result for a certain class of functions will be established. Moreover, exact asymptotic constants arising from the analysis will be exhibited. 2010-04-08 English text Kent State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=kent1270503593 http://rave.ohiolink.edu/etdc/view?acc_num=kent1270503593 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Mathematics
integral operators
Schauder bases
operator orbits
lacunary subsequences
asymptotic analysis
spellingShingle Mathematics
integral operators
Schauder bases
operator orbits
lacunary subsequences
asymptotic analysis
Beil, Joel S.
Geometric Properties of Orbits of Integral Operators
author Beil, Joel S.
author_facet Beil, Joel S.
author_sort Beil, Joel S.
title Geometric Properties of Orbits of Integral Operators
title_short Geometric Properties of Orbits of Integral Operators
title_full Geometric Properties of Orbits of Integral Operators
title_fullStr Geometric Properties of Orbits of Integral Operators
title_full_unstemmed Geometric Properties of Orbits of Integral Operators
title_sort geometric properties of orbits of integral operators
publisher Kent State University / OhioLINK
publishDate 2010
url http://rave.ohiolink.edu/etdc/view?acc_num=kent1270503593
work_keys_str_mv AT beiljoels geometricpropertiesoforbitsofintegraloperators
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